Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.
Phys Rev E. 2023 Jan;107(1-1):014404. doi: 10.1103/PhysRevE.107.014404.
A fundamental issue in biology is the nature of evolutionary transitions from unicellular to multicellular organisms. Volvocine algae are models for this transition, as they span from the unicellular biflagellate Chlamydomonas to multicellular species of Volvox with up to 50,000 Chlamydomonas-like cells on the surface of a spherical extracellular matrix. The mechanism of phototaxis in these species is of particular interest since they lack a nervous system and intercellular connections; steering is a consequence of the response of individual cells to light. Studies of Volvox and Gonium, a 16-cell organism with a plate-like structure, have shown that the flagellar response to changing illumination of the cellular photosensor is adaptive, with a recovery time tuned to the rotation period of the colony around its primary axis. Here, combining high-resolution studies of the flagellar photoresponse of micropipette-held Chlamydomonas with 3D tracking of freely swimming cells, we show that such tuning also underlies its phototaxis. A mathematical model is developed based on the rotations around an axis perpendicular to the flagellar beat plane that occur through the adaptive response to oscillating light levels as the organism spins. Exploiting a separation of timescales between the flagellar photoresponse and phototurning, we develop an equation of motion that accurately describes the observed photoalignment. In showing that the adaptive timescales in Volvocine algae are tuned to the organisms' rotational periods across three orders of magnitude in cell number, our results suggest a unified picture of phototaxis in green algae in which the asymmetry in torques that produce phototurns arise from the individual flagella of Chlamydomonas, the flagellated edges of Gonium, and the flagellated hemispheres of Volvox.
生物学中的一个基本问题是从单细胞生物向多细胞生物进化转变的本质。绿藻是这一转变的模型,它们的范围从单细胞双鞭毛的衣藻到具有多达 50000 个衣藻样细胞的多细胞团的水华。这些物种的趋光性机制特别有趣,因为它们没有神经系统和细胞间的连接;转向是单个细胞对光的反应的结果。对水华和盘藻的研究表明,盘藻是一种具有片状结构的 16 细胞生物,它们的鞭毛对细胞光感受器不断变化的光照的反应是适应性的,恢复时间与殖民地绕其主轴旋转的周期相匹配。在这里,我们结合对微管-held 衣藻的鞭毛光反应的高分辨率研究和对自由游动细胞的 3D 跟踪,表明这种调谐也构成了其趋光性的基础。我们基于生物体旋转时对光水平的摆动的适应性反应,建立了一个数学模型,该模型围绕与鞭毛拍动平面垂直的轴进行旋转。利用鞭毛光反应和趋光性之间的时间尺度分离,我们开发了一个运动方程,该方程准确地描述了观察到的光取向。通过证明绿藻中的适应时间尺度在三个数量级的细胞数范围内与生物体的旋转周期相匹配,我们的结果表明了一种统一的绿藻趋光性的观点,其中产生趋光性的力矩的不对称性源于衣藻的单个鞭毛、盘藻的鞭毛边缘和水华的鞭毛半球。